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Finding the Third Proportional to 481,114 and 733,019

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Solution

The third proportional to 481,114 and 733,019 is: 1,116,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,114 : 733,019 = 733,019 : x
  2. Step 2: Convert to fraction form
    481,114/733,019 = 733,019/x
  3. Step 3: Cross multiply
    481,114x = 733,019 × 733,019
  4. Step 4: Simplify right side
    481,114x = 537,316,854,361
  5. Step 5: Solve for x
    x = 537,316,854,361/481,114
  6. Step 6: Final answer
    x = 1,116,818.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.